The city’s most vulnerable kids are getting a billion-dollar boost from President Obama.

Thanks to $300 million in stimulus funds earmarked for Title 1 — and a policy tweak by the city — 169 more public schools will receive the federal funds for low-income students next September.

That will bring the total number of schools receiving Title 1 funds to 1,355, and the total number of Title 1 dollars in the Big Apple to $1 billion.

“We’re getting more money to schools that need it,” said city Department of Education spokeswoman Ann Forte. “And we’re able to do it without cutting any Title 1 funding from any other schools. Any school that received Title 1 funding this year will receive the same or more next year.”

Although the federal requirements for receiving Title 1 dollars have not changed, the city is changing the way it doles out money to its schools.

Currently, the schools are eligible for Title 1 funds if about 60 percent of their students receive free lunch.

Next year, schools will receive money if about 40 percent of their kids receive free or reduced-price lunch, increasing the pool of eligible schools.

“In these tough times, we want to ease the burden equitably,” said Forte. “The same population of students will get help. It will just happen at more schools.”

The exact amounts that schools will receive has not yet been set. “We’re still in the planning stages,” Forte said.